Least Common Multiple of 4543 and 4545

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4543 and 4545 the smallest integer that is 20647935 that is divisible by both numbers.

Least Common Multiple (LCM) of 4543 and 4545 is 20647935.

LCM(4543,4545) = 20647935

LCM of 4543 and 4545

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 4543 and 4545

LCM of 4543 and 4545 is 20647935

Least common multiple can be found by multiplying the highest exponent prime factors of 4543 and 4545. First we will calculate the prime factors of 4543 and 4545.

Prime Factorization of 4543


7 4543
11 649
59 59
1

Prime factors of 4543 are 7, 11,59. Prime factorization of 4543 in exponential form is:

4543 = 71×111×591

Prime Factorization of 4545


3 4545
3 1515
5 505
101 101
1

Prime factors of 4545 are 3, 5,101. Prime factorization of 4545 in exponential form is:

4545 = 32×51×1011

Now multiplying the highest exponent prime factors to calculate the LCM of 4543 and 4545.

LCM(4543,4545) = 32×51×71×111×591×1011
LCM(4543,4545) = 20647935

Factors of 4543

List of positive integer factors of 4543 that divides 4543 without a remainder.

1, 7, 11, 59, 77, 413, 649, 4543

Factors of 4545

List of positive integer factors of 4545 that divides 4545 without a remainder.

1, 3, 5, 9, 15, 45, 101, 303, 505, 909, 1515, 4545

Least Common Multiple of 4543 and 4545 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4543 and 4545, than apply into the LCM equation.

GCF(4543,4545) = 1
LCM(4543,4545) = ( 4543 × 4545) / 1
LCM(4543,4545) = 20647935 / 1
LCM(4543,4545) = 20647935

Properties of LCM 4543 and 4545

(i) The LCM of 4545 and 4543 is associative

LCM of 4543 and 4545 = LCM of 4545 and 4543

Related Least Common Multiples of 4543

Related Least Common Multiples of 4545

Frequently Asked Questions on LCM of 4543 and 4545

1. What is the LCM of 4543 and 4545?

Answer: LCM of 4543 and 4545 is 20647935.

2. What are the Factors of 4543?

Answer: Factors of 4543 are 1, 7, 11, 59, 77, 413, 649, 4543. There are 8 integers that are factors of 4543. The greatest factor of 4543 is 4543.

3. What are the Factors of 4545?

Answer: Factors of 4545 are 1, 3, 5, 9, 15, 45, 101, 303, 505, 909, 1515, 4545. There are 12 integers that are factors of 4545. The greatest factor of 4545 is 4545.

4. How to Find the LCM of 4543 and 4545?

Answer:

Least Common Multiple of 4543 and 4545 = 20647935

Step 1: Find the prime factorization of 4543

4543 = 7 x 11 x 59

Step 2: Find the prime factorization of 4545

4545 = 3 x 3 x 5 x 101

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 20647935 = 3 x 3 x 5 x 7 x 11 x 59 x 101

Step 4: Therefore, the least common multiple of 4543 and 4545 is 20647935.